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Finding the Fourth Proportional to 10,540.56, 14,543.64 and 6,350.16

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Solution

The fourth proportional to 10,540.56, 14,543.64 and 6,350.16 is: 8,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.56 : 14,543.64 = 6,350.16 : x
  2. Step 2: Convert to fraction form
    10,540.56/14,543.64 = 6,350.16/x
  3. Step 3: Cross multiply
    10,540.56x = 14,543.64 × 6,350.16
  4. Step 4: Simplify right side
    10,540.56x = 92,354,440.98
  5. Step 5: Solve for x
    x = 92,354,440.98/10,540.56
  6. Step 6: Final answer
    x = 8,761.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.